中文摘要：

提出了一种非接触式结构光测量液面微变形剖面曲线的方法。基于几何透射虚栅变形的原理，推导了液面离面变形与水底虚栅面内位移之间的数学关系。将一张单向几何光栅（频率为1～5line／mm）置于盛有已发生变形的水的透明水槽下方，并在水槽上方布置电荷耦合器件（CCD）相机，记录下因液面离面变形而产生的透射虚栅变形图。使用条纹中心算法对所采集的变形栅图进行细化、赋级和插值运算，可得到该虚栅图的位移矢量场。将之代入所推导的数学关系式中，即可迭代求得液面的离面变形剖面曲线。运用该方法对一分硬币漂浮于水面时引起的液面离面变形剖面曲线进行求解绘制，所测得结果与已有文献的结果相比较相差仅为2％，证明了该方法的有效性和可行一陛。

英文摘要：

A novel method based upon deformed transmission-virtual grating is proposed for determination of deformed liquid surface.Mathematic relations between out-of-plane displacement of deformed liquid surface and in-plane displacement of transmission-virtual grating for the method are derived.By addressing an orthogonal grating（1~5 line/mm） under the transparent water groove and then capturing images from upset of the deformed water surface,a displacement vector of full-field which directly associates the three-dimensional（3D） deformed liquid surface then can be evaluated by processing the recorded deformed fringe pattern by using special algorithm.By substituting the displacement field to the obtained equations then the out-of-plane displacement of 3D deformed liquid surface can be calculated.Validation test to measure the deformed water surface caused by a Chinese one-cent coin has been conducted.The result agrees with the previous literature,with except a slight difference of 2%,which demonstrates the feasibility of the developed method.